a(n) = Sum_{k=1..n} [ 1/{k/e} ], where {x} := x - [ x ].

Terms

a(0) =2a(1) =3a(2) =12a(3) =14a(4) =15a(5) =19a(6) =20a(7) =21a(8) =24a(9) =25a(10) =46a(11) =48a(12) =49a(13) =55a(14) =56a(15) =57a(16) =60a(17) =61a(18) =62a(19) =64a(20) =65a(21) =75a(22) =77a(23) =78a(24) =83a(25) =84a(26) =85a(27) =88a(28) =89a(29) =116